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Simplifying 6(2x + 1) = -5(3x + -15) Reorder the terms: 6(1 + 2x) = -5(3x + -15) (1 * 6 + 2x * 6) = -5(3x + -15) (6 + 12x) = -5(3x + -15) Reorder the terms: 6 + 12x = -5(-15 + 3x) 6 + 12x = (-15 * -5 + 3x * -5) 6 + 12x = (75 + -15x) Solving 6 + 12x = 75 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 6 + 12x + 15x = 75 + -15x + 15x Combine like terms: 12x + 15x = 27x 6 + 27x = 75 + -15x + 15x Combine like terms: -15x + 15x = 0 6 + 27x = 75 + 0 6 + 27x = 75 Add '-6' to each side of the equation. 6 + -6 + 27x = 75 + -6 Combine like terms: 6 + -6 = 0 0 + 27x = 75 + -6 27x = 75 + -6 Combine like terms: 75 + -6 = 69 27x = 69 Divide each side by '27'. x = 2.555555556 Simplifying x = 2.555555556
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